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algebra 1

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The rocket coaster has 15 cars, some that hold 4 people and some that hold 6 people. There is a room for 72 people altogether. How many 4 passenger cars are there? How many 6 passenger cars are there?

  • algebra 1 -

    let the number of 4-people cars be x
    then the number of 6-person cars is 15-x

    4x + 6(15-x) = 72
    4x + 90 - 6x = 72
    -2x = -18
    x = 9

    9 of the 4-person cars and 6 of the 6-person cars

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